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Sedaia [141]
3 years ago
12

Plz help!!! Missing length of right triangles

Mathematics
1 answer:
Elis [28]3 years ago
3 0
It looks like it’s Pythagorean theorem.
a^2 + b^2 =c^2
60^2+11^2=c^2
3,600+121=c^2
3,721=c^2
The square root of 3,721 is 61
So the answer should be 61
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Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.
larisa [96]

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Substitute each of these values into (1) for corresponding values of y

x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )

x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )

4 0
3 years ago
Read 2 more answers
-9/14 + 2/7<br><br> 4 + (- 1 2/3)<br><br> 15/4 + (-4 1/3)
vladimir2022 [97]

Answer:

it is b

Step-by-step explanation:

u welcome if im correct

4 0
2 years ago
Read 2 more answers
Which of these strategies would eliminate a variable in the system of equations?
SVEN [57.7K]

Answer: Multiply the top equation by , multiply 3 the bottom equation by 2, then add the equations.

Step-by-step explanation:

6x - 15y = 39

+ (- 6x + 4y) + (26)

- 11y = 65

4 0
2 years ago
For an art project, Lisa has decided to decorate the letter block “L” (shown in the diagram) built from two rectangular prisms.
MariettaO [177]

Answer:

2400

Step-by-step explanation:

8 0
2 years ago
5 miles east then 12 miles south how much faster is the direct route
IceJOKER [234]

Answer:

Therefore , the faster route distance is 13 miles.

Step-by-step explanation:

Given:

AB = 5 miles to East

BC = 12 miles to South

To Find:

AC = Faster and Direct Route = ?

Solution:

Consider ΔABC as a Right Angle Triangle, hence By Pythagoras Theorem,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the values we get

(AC)^{2}=(AB)^{2}+(BC)^{2}

(AC)^{2}=5^{2}+12^{2}=169\\(AC)^{2}=169\\Square\ Rooting\\AC=\sqrt{169}=13\ miles

Therefore , the faster route distance is 13 miles.

8 0
2 years ago
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